What is the Least Common Multiple of 11061 and 11073?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 11061 and 11073 is 40826151.
LCM(11061,11073) = 40826151
Least Common Multiple of 11061 and 11073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11061 and 11073, than apply into the LCM equation.
GCF(11061,11073) = 3
LCM(11061,11073) = ( 11061 × 11073) / 3
LCM(11061,11073) = 122478453 / 3
LCM(11061,11073) = 40826151
Least Common Multiple (LCM) of 11061 and 11073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11061 and 11073. First we will calculate the prime factors of 11061 and 11073.
Prime Factorization of 11061
Prime factors of 11061 are 3, 1229. Prime factorization of 11061 in exponential form is:
11061 = 32 × 12291
Prime Factorization of 11073
Prime factors of 11073 are 3, 3691. Prime factorization of 11073 in exponential form is:
11073 = 31 × 36911
Now multiplying the highest exponent prime factors to calculate the LCM of 11061 and 11073.
LCM(11061,11073) = 32 × 12291 × 36911
LCM(11061,11073) = 40826151
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